Arrondo Esteban, Enrique (1999) Projections of Grassmannians of lines and characterization of Veronese varieties. Journal of algebraic geometry, 8 (1). pp. 85-98. ISSN 1056-3911
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Official URL: http://arxiv.org/pdf/alg-geom/9703032.pdf
Abstract
We characterize the double Veronese embedding of P-n as the only variety that, under certain general conditions, can be isomorphically projected from the Grassmannian of lines in P2n+1 to the Grassmannian of lines in Pn+1.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Superadditivity |
| Subjects: | Sciences > Mathematics > Algebraic geometry |
| ID Code: | 14842 |
| References: | [°Ad] °Adslandvik, B., Varieties with an extremal number of degenerate higher secant varieties, Journal reine angew. Math., 392 (1987), 213-222. [Ar] Arrondo, E., Subvarieties of Grassmannians, Lecture Notes Series Dipartimento di Matematica Univ. Trento, 10, 1996. [ABT] Arrondo, E. – Bertolini, M. – Turrini, C., Congruences of small degree in G(1, 4), Preprint 1996. [A-S] Arrondo, E. – Sols, I., On congruences of lines in the projective space, M´em. Soc. Math. France, 50, 1992. [F] Fantechi, B., On the superadditivity of secant defects, Bull. Soc. Math. France, 118 (1990), 85-100. [H-R] Holme, A. – Roberts, J., Zak’s theorem on superadditivity, Ark. Mat., 32 (1994), 99-120. [S] Severi, F., Intorno ai punti doppi impropri di una superficie generale dello spazio a quattro dimensioni, e a suoi punti tripli apparenti, Rend. Circ. Mat. Palermo, II, Ser. 15 (1901), 377-401. [Z1] Zak, F.L., Linear systems of hyperplane sections on varieties of low codimension, Functional Anal. Appl. 19 (1986), 165-173. [Z2] Zak, F.L., Tangents and Secants of Algebraic Varieties, Transl. Math. Monographs AMS 127, 1993. 14 |
| Deposited On: | 18 Apr 2012 12:16 |
| Last Modified: | 18 Apr 2012 12:16 |
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